133401840 has 320 divisors, whose sum is σ = 509967360. Its totient is φ = 28554240.

The previous prime is 133401809. The next prime is 133401881. The reversal of 133401840 is 48104331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 133401840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5800069 + ... + 5800091.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2^133401840 is an apocalyptic number.

133401840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

133401840 is an abundant number, since it is smaller than the sum of its proper divisors (376565520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133401840 is a wasteful number, since it uses less digits than its factorization.

133401840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 133401840 is about 11549.9714285361. The cubic root of 133401840 is about 510.9604354563.

The spelling of 133401840 in words is "one hundred thirty-three million, four hundred one thousand, eight hundred forty".